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201110210016 = 25327146716553
BaseRepresentation
bin1011101101001100011…
…0100100010111100000
3201020002201100012022220
42323103012210113200
511243333203210031
6232215545431040
720346461402622
oct2732306442740
9636081305286
10201110210016
117832151a441
1232b8749b480
1315c70336191
149a3b71ac12
155370b75596
hex2ed31a45e0

201110210016 has 96 divisors (see below), whose sum is σ = 531029011968. Its totient is φ = 66642324480.

The previous prime is 201110209991. The next prime is 201110210017. The reversal of 201110210016 is 610012011102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 201110209977 and 201110210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110210017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12141196 + ... + 12157748.

It is an arithmetic number, because the mean of its divisors is an integer number (5531552208).

Almost surely, 2201110210016 is an apocalyptic number.

It is an amenable number.

201110210016 is an abundant number, since it is smaller than the sum of its proper divisors (329918801952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201110210016 is a wasteful number, since it uses less digits than its factorization.

201110210016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17304 (or 17296 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 201110210016 its reverse (610012011102), we get a palindrome (811122221118).

The spelling of 201110210016 in words is "two hundred one billion, one hundred ten million, two hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 467 542 813 934 1084 1401 1626 1868 2168 2802 3252 3736 4336 5604 6504 7472 8672 11208 13008 14944 16553 22416 26016 33106 44832 49659 66212 99318 126557 132424 198636 253114 264848 379671 397272 506228 529696 759342 794544 1012456 1518684 1589088 2024912 3037368 4049824 4485863 6074736 7730251 8971726 12149472 13457589 15460502 17943452 23190753 26915178 30921004 35886904 46381506 53830356 61842008 71773808 92763012 107660712 123684016 143547616 185526024 215321424 247368032 371052048 430642848 742104096 2094898021 4189796042 6284694063 8379592084 12569388126 16759184168 25138776252 33518368336 50277552504 67036736672 100555105008 201110210016